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Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions (open access)

Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions

This article discusses the construction of six generalized second-order parameter-free duality models, and proves several weak, strong, and strict converse duality theorems for a discrete minmax fractional programming problem using two partitioning schemes and various types of generalized second-order (ℱ, β, ɸ, 𝜌, θ, 𝑚)-univexity assumptions.
Date: November 8, 2016
Creator: Zalmai, G. J. & Verma, Ram U.
System: The UNT Digital Library
Infinitely Many Solutions for a Semilinear Problem on Exterior Domains With Nonlinear Boundary Condition (open access)

Infinitely Many Solutions for a Semilinear Problem on Exterior Domains With Nonlinear Boundary Condition

This article proves the existence of an infinite number of radial solutions to Δu + K(r)ƒ(u) = 0 with a nonlinear boundary condition on the exterior of the ball of radius R centered at the origin in ℝᴺ.
Date: May 8, 2018
Creator: Joshi, Janak & Iaia, Joseph A.
System: The UNT Digital Library